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On a summation method of S. Verblunsky†
Published online by Cambridge University Press: 24 October 2008
Extract
Let 0 ≤ λ0 < λ1 < … < λn → ∞, and let
If as ω → ∞, we write
Suppose that
converges for σ > 0,
where τp(h) is finite for |h| < δ. If
we write
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 499 - 503
- Copyright
- Copyright © Cambridge Philosophical Society 1972
References
REFERENCES
(1)Borwein, D.On the abscissae of summability of a Dirichlet series. J. London Math. Soc. 30 (1955), 68–71.CrossRefGoogle Scholar
(2)Guha, U. C.(γ, k)-summability of series. Pacific J. Math. 7 (1957), 1593–1602.CrossRefGoogle Scholar
(4)Hardy, G. H. and Littlewood, J. E.The allied series of a Fourier series. Proc. London Math. Soc. (2), 24 (1925), 211–246.Google Scholar
(5)Kwee, B.On the general methods of suinmability. J. London Math. Soc. (2), 2 (1970), 23–31.CrossRefGoogle Scholar
(6)Verblunsky, S.Note on the sum of an oscillating series. Proc. Cambridge Philos. Soc. 26 (1930), 153–159.Google Scholar